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B
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81% (01:52) correct
19%
(02:08)
wrong
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The cost of all items of type 1 is exactly the same, and the cost of all items of type 2 is exactly the same. Is the cost of one item of type 1 less than the cost of one item of type 2?
(1) The total cost of 6 items of type 1 and 4 items of type 2 is less than the total cost of 4 items of type 1 and 8 items of type 2.
(2) The total cost of 5 items of type 1 and 4 items of type 2 is less than the total cost of 4 items of type 1 and 5 items of type 2.
(1) The total cost of 6 items of type 1 and 4 items of type 2 is less than the total cost of 4 items of type 1 and 8 items of type 2.
(2) The total cost of 5 items of type 1 and 4 items of type 2 is less than the total cost of 4 items of type 1 and 5 items of type 2.
03 Sep 2025, 06:17
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Bunuel
Let the cost of all type 1 items be x , and the cost of all type 2 items be y.
Asked IS x < y ??
Statement 1:
(1) The total cost of 6 items of type 1 and 4 items of type 2 is less than the total cost of 4 items of type 1 and 8 items of type 2.
6x + 4y < 4x + 8y
x < 2y
x and y can assume any values. X= 5 and y = 6 , then 5 < 12 .
x= 5 and y =3 , then 5 < 6 , these two scenarios provide different results. Hence, Insufficient
Statement 2:
(2) The total cost of 5 items of type 1 and 4 items of type 2 is less than the total cost of 4 items of type 1 and 5 items of type 2.
5x + 4y < 4x + 5y
x < y
Hence, Sufficient
Option B
03 Sep 2025, 18:06
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let type 1 item be x and type 2 item price be y
Option 1:
6x+4y<4x+8y
2x<4y
x<2y
Can't say if y is greater than X from this . Not sufficient.
Option 2:
5x+4y<4x+5y
x<y
Sufficient to answer. Hence B should be the answer
Option 1:
6x+4y<4x+8y
2x<4y
x<2y
Can't say if y is greater than X from this . Not sufficient.
Option 2:
5x+4y<4x+5y
x<y
Sufficient to answer. Hence B should be the answer
Bunuel
